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470623692 = 2237112192437
BaseRepresentation
bin11100000011010…
…010010111001100
31012210120011100010
4130003102113030
51430434424232
6114411033220
714443143510
oct3403222714
91183504303
10470623692
11221722600
1211173b810
137666ac76
144670a140
152b4b40cc
hex1c0d25cc

470623692 has 144 divisors (see below), whose sum is σ = 1452657920. Its totient is φ = 115758720.

The previous prime is 470623669. The next prime is 470623693. The reversal of 470623692 is 296326074.

It is a self number, because there is not a number n which added to its sum of digits gives 470623692.

It is not an unprimeable number, because it can be changed into a prime (470623693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191898 + ... + 194334.

Almost surely, 2470623692 is an apocalyptic number.

470623692 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470623692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726328960).

470623692 is an abundant number, since it is smaller than the sum of its proper divisors (982034228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

470623692 is a wasteful number, since it uses less digits than its factorization.

470623692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 470623692 is about 21693.8630031629. The cubic root of 470623692 is about 777.8417721102.

The spelling of 470623692 in words is "four hundred seventy million, six hundred twenty-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 121 132 133 154 209 228 231 242 266 308 363 399 418 462 484 532 627 726 798 836 847 924 1254 1452 1463 1596 1694 2299 2437 2508 2541 2926 3388 4389 4598 4874 5082 5852 6897 7311 8778 9196 9748 10164 13794 14622 16093 17059 17556 26807 27588 29244 32186 34118 46303 48279 51177 53614 64372 68236 80421 92606 96558 102354 107228 138909 160842 185212 187649 193116 204708 277818 294877 321684 324121 375298 509333 555636 562947 589754 648242 750596 884631 972363 1018666 1125894 1179508 1296484 1527999 1769262 1944726 2037332 2064139 2251788 3055998 3538524 3565331 3889452 4128278 5602663 6111996 6192417 7130662 8256556 10695993 11205326 12384834 14261324 16807989 21391986 22410652 24769668 33615978 39218641 42783972 67231956 78437282 117655923 156874564 235311846 470623692